Amalia

You can solo this one with Chrominius.

Start with ''Ancient Blessing'' then just spam ''Arcane Explosion'' (while using ''Ancient Blessing'' when off cooldown) until the two pets behind the battlefield are dead. Then finish off with ''Surge of Power'' at the end.

Just did it today and it worked fine for me.

Additional info from comments that will help aswell:

Gardakan18: ''Likely, for The Lil' Necromancer achievement (only undead pets), Fossilized Hatchling can solo the 3 pets with Ancient Blessing and BONESTORM on cooldown''.

fishoa: ''Awesome strat. Just be careful to put two HP dragons in the backline because when they're dead, Chrominius will take around 600 damage from Foof's Dreadful Breath''.

Fight Night: Amalia is randomly available in Dalaran (27.89, 23.20) and only visible if you've unlocked World Quests. Rewards will vary.

Amalia will have the following team (all level 25 rares):

1. [npc=107492]

beast

[pet-ability=578]

[pet-ability=668]

[pet-ability=362]

2. [npc=107491]

beast

[pet-ability=905]

[pet-ability=1357]

[pet-ability=228]

3. [npc=107493]

elemental

[pet-ability=1359]

[pet-ability=1687]

[pet-ability=1354]

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• 
  
• World Quest Team: I usually use a [npc=24968] (1,2,2) (alts), a shielded aquatic like [npc=63005] (2,2,1) (alts), and a second aquatic (2nd crab is good, water strider is also good).
  - Foof: [pet-ability=634] > [pet-ability=777] > 2x[pet-ability=293] > if needed: [pet-ability=777]
  - Stumpers: [pet-ability=634] hits, clean up with [pet-ability=777] or 2x[pet-ability=293]
  - Lil' Sizzle: burn out mech, then bring in crab - maintain [pet-ability=310], [pet-ability=123] as needed (or for something to do while puppies are submerged), [pet-ability=509] to fill - use 2nd aquatic's attacks as needed if/when swapped
  

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Amalia is part of Family Familiar
(Use the Spoiler tags to view the strats as they're developed/linked.)

Aquatic: Aquatic Acquiescence

• [npc=98116] (1,2,2) +2 Aquatic backups. There are alternate jellyfish, but Bleak has highest Power stat.
  Strategy: here | Credit: TheCrosshare

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Beast: Best of the Beasts

• Team: [npc=97531] (2,1,2) | [npc=61753] (2,1,2) | [npc=63304] (2,1,2)
  Full list of larve/maggot/grub(bs): here
  Strategy: here | Credit: fabianfreidberg

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Critter: Mousing Around
I was going to make a "3 blind mice" joke ("joke") team - but really a snail works better in slot 3 since Lil' Sizzle is elemental.

• Team: [npc=111158] (1,1,2) (alt) | [npc=82715] (1,1,2) (alt) | [npc=98446] (2,2,1) (alts)
  We're adding an element of RNG to this fight with [pet-ability=256], which might make Stumpers's [pet-ability=905] more annoying. The advantage it gives your Critters should still (mostly) outweigh misses/dodges. My Blind Rat was not rare quality and still made it halfway through the fight on 3 of 5 attempts, though.

vs. Foof

[pet-ability=256] on CD, [pet-ability=1371] to fill

vs. Stumpers

Maintain [pet-ability=165], [pet-ability=256], [pet-ability=1371] to fill
- If 1st rat dies, have 2nd rat avenge by repeating priorities.

vs. Lil' Sizzle

When snail comes in: maintain [pet-ability=310], save [pet-ability=564] until final round of [pet-ability=1354], [pet-ability=449] to fill

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Dragonkin: Dragons!

• Option 1: slow and steady with [npc=68662] (2,2,2) - Ledning's strat is here. Make sure you use two high health Dragonkin backups.
• 
  
• Option 2: [npc=62395] (2,2,2) (alt) and [npc=68850] (2,2,2) (alts) - TNENoz's strat is here. Use a high health Dragonkin in slot 3.

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Elemental: Ragnaros, Watch and Learn

• Soloed with [npc=66950] (2,1,1). Bring two elementals for back-up (make sure they have high HP to help mitigate [pet-ability=668]).
  - Spam [pet-ability=419] until Lil' Sizzle dies in the back row, using [pet-ability=123] as needed (I used it round 4 and then on CD).
  - After Sizzle has fizzled (sorrynotsorry), start peppering [pet-ability=513] into the rotation & using it on CD.

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Flying: Flock Together

• Stack a team with moths that have [pet-ability=504], [pet-ability=506], [pet-ability=508]. Full list of these moths here.
  Credit to op by donquixote235 (here).

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Humanoid: Murlocs, Harpies, and Wolvar, Oh My!

• Team: [npc=15698] (2,1,2) | [npc=73741] (2,1,1) | [npc=15705] (2,1,2)
  (Father Winter and Winter's Little Helpers are interchangeable.)

vs. Foof

[pet-ability=206], 3x [pet-ability=413], finish with [pet-ability=586]

vs. Stumpers

2x [pet-ability=413], refresh [pet-ability=206], swap to Rotten Helper.
[pet-ability=1080] + [pet-ability=1076] (+ [pet-ability=413] w/bad RNG from [pet-ability=905])

vs. Lil' Sizzle

[pet-ability=413] until Rotten dies. Bring in 2nd Helper. Refresh [pet-ability=206] if needed, [pet-ability=586] on CD (unless Sizz is using [pet-ability=1354]), [pet-ability=413] to fill. Maintain priority if swapped with [pet-ability=1687].

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Magic: Master of Magic

• Option 1: If you have [npc=98237] (2,1,2) and an ooze/slime/wasteling, use Rikade's strategy (link) with a 3rd Magic (lists reqs to use for leveling pets, as well).
• 
  
• Option 2: [npc=88692] (2,2,2) +2 Magic pets (OP used [npc=33227] and [npc=98237]). Strategy: here | Credit: Cantralian.

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Mechanical: Roboteer

• Team: [npc=55367] (1,1,2) | [npc=15699] (1,?,2)* | [npc=12419] (1,1,1)
  *You can use [pet-ability=209] as a guide for substitutions, if you'd like. Of the Ion Cannon Mechs (with single breeds to make it easier), [npc=55356] (1,1,2) has the most health, [npc=84885] (1,?,2) has the highest power. Pets were suggested here by Zuckerguss - I added 3rd pet and moves/strategy.

vs. Foof

[pet-ability=647] -> [pet-ability=334] -> [pet-ability=777] until Foof is dead

vs. Stumpers

[pet-ability=647] on CD & [pet-ability=777] to fill ([pet-ability=334] if it comes off CD)
Match will vary due to [pet-ability=905] procs.
If Zep dies, bring in Yeti & [pet-ability=384] until Stumpers is dead.

vs. Lil' Sizzle

If Zep: Continue [pet-ability=334] > [pet-ability=647] > [pet-ability=777] until death, bring in Yeti.
If Yeti: If active when Sizz comes out - [pet-ability=209], otherwise [pet-ability=384] until [pet-ability=1354] is over, then [pet-ability=209].
Lifelike Toad should be brought in with [pet-ability=1687]. Prioritize: [pet-ability=233] > [pet-ability=123] as needed > [pet-ability=118]

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Undead: The Lil' Necromancer

• Soloed with [npc=61905] (2,2,2) (same moves as [npc=97952])
  - brought 2 undead backups: [npc=83817] (2,2,2) | [npc=97324] (2,2,2)
• 
  

[pet-ability=449] the round after you're debuffed ([pet-ability=362]), otherwise [pet-ability=299].

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Aquatic team, one pet; Bleakwater jelly - 1-2-2.

Tidal wave until first backrow pet died.
Squeeze.
Slap tentacles for win.

That is honestly it :p